Quasi-time-Dependent $$l_2-l_\infty $$ Filtering of Discrete-Time Switched Systems with Admissible Edge-Dependent Average Dwell Time

2020 ◽  
Vol 39 (9) ◽  
pp. 4320-4338
Author(s):  
Ruihua Wang ◽  
Bingxin Xue ◽  
Linlin Hou ◽  
Shumin Fei ◽  
Jingbo Zhao
2014 ◽  
Vol 53 (2) ◽  
pp. 367-372 ◽  
Author(s):  
Bo Wang ◽  
Hongbin Zhang ◽  
Gang Wang ◽  
Chuangyin Dang ◽  
Sijun Zhong

2016 ◽  
Vol 39 (2) ◽  
pp. 224-229 ◽  
Author(s):  
Tingting Liu ◽  
Baowei Wu ◽  
Yue-E Wang ◽  
Lili Liu

The stability and stabilization of discrete-time linear positive switched systems are discussed in this paper. First, based on the concept of the forward mode-dependent average dwell time, a stability result for discrete-time linear positive switched systems is obtained by utilizing the multiple linear copositive Lyapunov functions. Then, by introducing multiple-sample Lyapunov-like functions variation, a new exponential stability result is derived. Finally, the conditions for the existence of mode-dependent stabilizing state feedback controllers are investigated, and two illustrative examples are given to show the correctness of the theoretical results obtained.


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